Continuous Iteration of Dynamical Maps

Physics – Mathematical Physics

Scientific paper

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24 pages, ps file

Scientific paper

10.1063/1.532574

A precise meaning is given to the notion of continuous iteration of a
mapping. Usual discrete iterations are extended into a dynamical flow which is
a homotopy of them all. The continuous iterate reveals that a dynamical map is
formend by independent component modes envolving without interference with each
other.

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